GCF of 4113/142, 1422/921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4113/142, 1422/921 i.e 9/130782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4113/142, 1422/921.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4113/142,1422/921?
Given fractions are 4113/142,1422/921
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4113/142,1422/921, numerators are 4113,1422
Denominators are 142,921
The GCF of 4113,1422 is 9 .
LCM of 142,921 is 130782.
The greatest common factor of 4113/142,1422/921 = [GCF of 4113,1422]/[LCM of 142,921]= 9/130782
Therefore, the GCF of 4113/142,1422/921 is 9/130782.
To find the highest common factor of 4113,1422, we have to find the factors of both numbers and list the highest common factor.
The factors of 4113 are 1, 3, 9, 457, 1371, 4113
The factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422
The HCF of 4113,1422 is 9.
Lets's calculate GCF of 4113,1422
| 3 | 4113, 1422 |
| 3 | 1371, 474 |
| 457, 158 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4113,1422 By Matching Biggest Common Factor Method
Now, list down the factors of 4113
:1,3,9,457,1371,4113
Now, list down the factors of 1422
:1,2,3,6,9,18,79,158,237,474,711,1422
Greatest Common Factor
We found the factors 4113,1422 . The biggest common factor number is the GCF number.
So the greatest common factor 4113,1422 is 9.
Lets's calculate LCM of 142,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 130782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/130782
Therefore, the GCF of Fractions 4113/142,1422/921 is 9/130782
Least Common Multiple of 142,921 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 142,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,921) x common factors =1 x 1 = 1
LCM(142,921) = ( 142 × 921 ) / 1
LCM(142,921) = 130782 / 1
LCM(142,921) = 130782
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FAQs on GCF of Fractions of 4113/142, 1422/921
1. What is the HCF of 4113,1422?
The HCF of 4113,1422 is 9
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4113/142, 1422/921?
Answer: GCF of Numerators as per given numbers 4113/142, 1422/921 is
GCF of Numerators i.e. for 4113,1422 is 9
LCM of denominators i.e. for 142,921 is 130782.
Thus, GCF of Fractions is 9/130782.Finally, GCF of Fractions for 4113/142, 1422/921 is 9/130782.